New Delay Less Sub Band Adaptive Filtering Algorithm Foractive Noise
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Global Journal of Researches in Engineering: f Electrical and Electronics Engineering Volume 14 Issue 1 Version 1.0 Year 2014 Type: Double Blind Peer Reviewed International Research Journal Publisher: Global Journals Inc. (USA) Online ISSN: 2249-4596 & Print ISSN: 0975-5861 New Delay Less Sub Band Adaptive Filtering Algorithm for Active Noise Control Systems By B. Satish Chandra, S. China Venkateswarlu, D. Ravi Kiran Babu & K. Arun Kumar Jyothishmathi Institute of Technology & Science, India Abstract- The delay less SAF scheme in an ANC system involves the decomposition of input noise (i.e., the reference signal) and error signals into sub bands using analysis filter banks, and combining the sub band weights into a full-band noise canceling filter by a synthesis filter bank called weight stacking. Typically, a linear-phase finite-impulse response (FIR) low-pass filter (i.e., prototype filter) is designed and modulated for the design of such filter banks. The filter must be designed so that the side-lobe effect and spectral leakage are minimized. The delay in filter bank is reduced by prototype filter design and the side-lobe distortion is compensated for by oversampling and appropriate stacking of sub band weights. Experimental results show the improvement of performance and computational complexity of the proposed method in comparison to two commonly used sub band and block adaptive filtering algorithms. Keywords: DFT, dolph-linear -phase finite-impulse response, sub band adaptive filtering, SAF, UDFM. GJRE-F Classification : FOR Code: 091301, 090699 NewDelayLessSubBandAdaptiveFilteringAlgorithmforActiveNoiseControlSystems Strictly as per the compliance and regulations of : © 2014. B. Satish Chandra, S. China Venkateswarlu, D. Ravi Kiran Babu & K. Arun Kumar. This is a research/review paper, distributed under the terms of the Creative Commons Attribution-Noncommercial 3.0 Unported License http://creativecommons.org/licenses/by-nc/3.0/), permitting all non commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. New Delay Less Sub Band Adaptive Filtering Algorithm for Active Noise Control Systems α σ ρ Ѡ B. S atish Chandra , S. China Venkateswarlu , D. Ravi Kiran Babu & K. Arun Kumar Ab stract- The delay less SAF scheme in an ANC system In general, the SAF methods offer a good involves the decomposition of input noise (i.e., the reference alternative approach to meet ANC system requirements, signal) and error signals into sub bands using analysis filter due to their inherent spectral decomposition and down banks, and combining the sub band weights into a full-band sampling operations. Since the spectral dynamic range noise canceling filter by a synthesis filter bank called weight and eigen value spread of the covariance matrix of noise 2014 stacking. Typically, a linear-phase finite-impulse response (FIR) low-pass filter (i.e., prototype filter) is designed and signal decrease in each sub band, the performance, i.e., Year modulated for the design of such filter banks. The filter must convergence rate, noise attenuation level, and stability be designed so that the side-lobe effect and spectral leakage of the ANC system, improves using SAF techniques. 35 are minimized. The delay in filter bank is reduced by prototype Hence, one expects that increasing the number of sub filter design and the side-lobe distortion is compensated for by bands (or block length) M should improve the oversampling and appropriate stacking of sub band weights. performance. Experimental results show the improvement of performance The delay less SAF scheme in an ANC system and computational complexity of the proposed method in involves the decomposition of input noise (i.e., the comparison to two commonly used sub band and block reference signal) and error signals into sub bands using adaptive filtering algorithms. Sub band adaptive filtering (SAF) techniques play a prominent role in designing active noise analysis filter banks, and combining the sub band control (ANC) systems. They reduce the computational weights into a full-band noise canceling filter by a complexity of ANC algorithms, particularly, when the acoustic synthesis filter bank called weight stacking. Typically, a noise is a broadband signal and the system models have long linear-phase finite-impulse response (FIR) low-pass filter impulse responses. In the commonly used uniform-discrete (i.e., prototype filter) is designed and modulated for the Fourier transform (DFT) -modulated (UDFTM) filter banks, design of such filter banks. The filter must be designed increasing the number of sub bands decreases the so that the side-lobe effect and spectral leakage are I I Version XIV Issue olume computational burden but can introduce excessive distortion, V minimized. The latter requires a high-order FIR filter, ) degrading performance of the ANC system. In this paper, we F introducing a long delay, which increases with M as the ( propose a new UDFTM-based adaptive sub band filtering method that alleviates the degrading effects of the delay and bandwidth shrinks. The long delay and side-lobe side-lobe distortion introduced by the prototype filter on the interference introduced by the prototype filter degrade system performance. the performance of SAF algorithms for large M, limiting Keywords: DFT, dolph-linear-phase finite-impulse the computational saving that can be obtained by response, sub band adaptive filtering, SAF, UDFM. increasing the number of sub bands. Improving the system performance and reducing the computational I. Introduction burden by increasing M has inspired the work presented ubband adaptive filtering (SAF) techniques play a herein. The focus of this project is to design a high- performance SAF algorithm. The performance limiting prominent role in designing active noise control Researches in Engineering S (ANC) systems. They reduce the computational factors of existing SAF structures were found to be due complexity of ANC algorithms, particularly, when the to the inherent delay and side-lobes of the prototype filter in the analysis filter banks. acoustic noise is a broadband signal and the system models have long impulse responses. Active noise A delay less structure targeted for low-resource of ournal control (ANC) is a method of canceling a noise signal in implementation is proposed to eliminate filter bank an acoustic cavity by generating an appropriate anti- processing delays in sub band adaptive filters obal J Gl (SAFs). Rather than using direct IFFT or poly phase noise signal via canceling loudspeakers. filter banks to transform the SAFs back into the time-domain, the proposed method utilizes a weighted Author α: Assoc. Prof -ECE JITS Jyothishmathi Institute of Technology & overlap-add (WOLA) synthesis. Low-resource real-time Science, Nustulapur, Karimnagar -505 481, Andhra Pradesh, India. Author σ: P rof. & HOD -ECE JITS Jyothishmathi Institute of Technology implementations are targeted and as such do not & Science, Nustulapur, Karimnagar-505 481, Andhra Pradesh, India. involve long (as long as the echo plant) FFT or IFFT e-mail: [email protected] operations. Also, the proposed approach facilitates time Author ρ: Assoc. Prof -ECE JITS Jyothishmathi Institute of Technology & Science, Nustulapur, Karimnagar-505 481, Andhra Pradesh, India. distribution of the adaptive filter reconstruction Author Ѡ: Asst. Prof-ECE SCITES Jyothishmathi Institute of Technology calculations crucial for efficient real-time and hardware & Science, Nustulapur, Karimnagar-505 481, Andhra Pradesh, India. implementation. The method is implemented on an ©2014 Global Journals Inc. (US) New Delay L ess Sub Band Adaptive Filtering Algorithm for Active Noise Control Systems oversampled WOLA filter bank employed as part of an matrix. Specifically when N − P ≥ M, the N ×P echo cancellation application. Evaluation results polynomial (resp. : Laurent polynomial) of M-variety demonstrate that the proposed implementation matrix is generically invertible; whereas when N − P < outperforms conventional SAF systems since the signals M, the matrix is generically noninvertible. Using this used in actual adaptive filtering are not distorted by filter sharp phase transition property, we develop a fast bank aliasing. The method is a good match for partial algorithm to compute a particular left inverse for a given update adaptive algorithms since segments of the time- Laurent polynomial matrix. These results suggest an domain adaptive filter are sequentially reconstructed alternative approach in designing multidimensional filter and updated. banks by freely generating filters for the analysis side A delay less method for adaptive filtering first. If we allow an amount of over sampling then we can through SAF systems is proposed. The method, based almost surely find a perfect reconstruction inverse for on WOLA synthesis of the SAFs, is very efficient and is the synthesis poly phase matrix. These results also have well mapped to a low-resource hardware potential applications in multidimensional signal 2014 implementation. The performance of an open-loop reconstruction from multi-channel filtering and sampling. version of the system was compared against a Speech signals from the uncontrolled environments may Year conventional SAF system employing the same WOLA contain degradation components along with the analysis/synthesis filter banks, with the proposed delay required speech components. The degradation 36 less system offering superior performance but at greater components